Problem

Data set A has box-plot summary minimum \(40\), \(Q_{1}\) \(45\), median \(50\), \(Q_{3}\) \(55\), maximum \(60\). Data set B has box-plot summary minimum \(20\), \(Q_{1}\) \(35\), median \(50\), \(Q_{3}\) \(65\), maximum \(80\). Compare their centers and spreads.

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Both data sets have the same center because the median is 50 in each, but data set B has much greater spread since its IQR and range are larger.

The two data sets have the same center because both medians are 50, but data set A has the greater spread because its box plot is more compact.

Data set B has the higher center because its maximum is 80 instead of 60, and it also has the greater spread.

Data set A has the higher center because its values are packed more closely around 50, while data set B has the lower center and the greater spread.

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